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Simplifying 3(7a + -6) = 5(2 + 5a) Reorder the terms: 3(-6 + 7a) = 5(2 + 5a) (-6 * 3 + 7a * 3) = 5(2 + 5a) (-18 + 21a) = 5(2 + 5a) -18 + 21a = (2 * 5 + 5a * 5) -18 + 21a = (10 + 25a) Solving -18 + 21a = 10 + 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. -18 + 21a + -25a = 10 + 25a + -25a Combine like terms: 21a + -25a = -4a -18 + -4a = 10 + 25a + -25a Combine like terms: 25a + -25a = 0 -18 + -4a = 10 + 0 -18 + -4a = 10 Add '18' to each side of the equation. -18 + 18 + -4a = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -4a = 10 + 18 -4a = 10 + 18 Combine like terms: 10 + 18 = 28 -4a = 28 Divide each side by '-4'. a = -7 Simplifying a = -7
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